A vessel is in the form of an inverted cone. It's height is 11cm and the radius of its top which is open is 2.5cm. It is filled with water upto the rim. When lead shots each of which is a sphere of radius 0.25cm are dropped into the vessel. 2/5 of the water flows out. Find the number of lead shots dropped into the vessel
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Answer:
Given:
When 'n' number of balls are dropped inside the vessel, 2/5 th of the volume flows outside the vessel.
To Find:
Steps:
Hence let's first calculate the volume of the conical vessel.
Volume of the sphere is calculated as:
Amount of volume displaced = 2/5th of Vessel Volume.
We know that,
Volume Added = Volume Displaced
Hence writing in terms of equation we get:
→ n × Volume of 1 lead shot = 2/5th Volume of Cone
Hence the number of lead shots dropped into the vessel is 440.